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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 553 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  2. 2.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  3. 3.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 80 m and 100 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  6. 6.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  10. 10.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 90 m and 90 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  16. 16.Two trains, 220 m and 260 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  17. 17.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 60 m and 360 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  21. 21.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  22. 22.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  23. 23.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  24. 24.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  25. 25.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  26. 26.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  28. 28.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  31. 31.Two trains, 140 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 30 km upstream and come back?
  33. 33.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  35. 35.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  36. 36.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  37. 37.Two trains, 70 m and 200 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  38. 38.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  40. 40.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 5
  2. 31
  3. 22
  4. 9
  5. 6
  6. 26
  7. 14
  8. 14
  9. 41
  10. 16
  11. 1
  12. 6
  13. 28
  14. 4
  15. 9
  16. 12
  17. 16
  18. 11
  19. 19
  20. 12
  21. 17
  22. 24
  23. 23
  24. 30
  25. 25
  26. 13
  27. 345
  28. 1
  29. 9
  30. 28
  31. 7
  32. 12
  33. 180
  34. 20
  35. 18
  36. 200
  37. 9
  38. 23
  39. 33
  40. 5

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